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Finding the Fourth Proportional to 25,851.60, 35,678.57 and 15,777.95

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Solution

The fourth proportional to 25,851.60, 35,678.57 and 15,777.95 is: 21,775.61

Step by Step Solution

  1. Step 1: Write the proportion equation
    25,851.60 : 35,678.57 = 15,777.95 : x
  2. Step 2: Convert to fraction form
    25,851.60/35,678.57 = 15,777.95/x
  3. Step 3: Cross multiply
    25,851.60x = 35,678.57 × 15,777.95
  4. Step 4: Simplify right side
    25,851.60x = 562,934,436.25
  5. Step 5: Solve for x
    x = 562,934,436.25/25,851.60
  6. Step 6: Final answer
    x = 21,775.61

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.